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7. round off to the indicated number of significant figures. a. 808.57 …

Question

  1. round off to the indicated number of significant figures.

a. 808.57 to 4 sfs
b. 808.57 to 3 sfs
c. 808.57 to 2 sfs
d. 0.06372 to 3 sfs

Explanation:

Step1: Round 808.57 to 4 SFs

Look at the 5th digit (7), which is ≥5, so round up the 4th digit (5) to 6.
Result: $808.6$

Step2: Round 808.57 to 3 SFs

Look at the 4th digit (5), which is ≥5, so round up the 3rd digit (8) to 9.
Result: $809$

Step3: Round 808.57 to 2 SFs

Look at the 3rd digit (8), which is ≥5, so round up the 2nd digit (0) to 1, and use a placeholder zero.
Result: $810$

Step4: Round 0.06372 to 3 SFs

Ignore leading zeros, look at the 4th significant digit (2), which is <5, so keep the 3rd digit (7) unchanged.
Result: $0.0637$

Answer:

a. $808.6$
b. $809$
c. $810$
d. $0.0637$